Home / 329-691

Finding the Third Proportional to 329 and 691

Calculator

Solution

The third proportional to 329 and 691 is: 1,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 691 = 691 : x
  2. Step 2: Convert to fraction form
    329/691 = 691/x
  3. Step 3: Cross multiply
    329x = 691 × 691
  4. Step 4: Simplify right side
    329x = 477,481
  5. Step 5: Solve for x
    x = 477,481/329
  6. Step 6: Final answer
    x = 1,451.31

Related Problems

Find third proportional to 164.50 and 345.50
Half scale
Find third proportional to 658 and 1,382
Double scale
Find third proportional to 331 and 695
Similar ratio
Find third proportional to 493.50 and 1,036.50
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.